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Finding the Fourth Proportional to 285,680.07, 428,097.78 and 269,704.08

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Solution

The fourth proportional to 285,680.07, 428,097.78 and 269,704.08 is: 404,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,680.07 : 428,097.78 = 269,704.08 : x
  2. Step 2: Convert to fraction form
    285,680.07/428,097.78 = 269,704.08/x
  3. Step 3: Cross multiply
    285,680.07x = 428,097.78 × 269,704.08
  4. Step 4: Simplify right side
    285,680.07x = 115,459,717,904.94
  5. Step 5: Solve for x
    x = 115,459,717,904.94/285,680.07
  6. Step 6: Final answer
    x = 404,157.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.